Atkin-Lehner |
3- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38493h |
Isogeny class |
Conductor |
38493 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
154368 |
Modular degree for the optimal curve |
Δ |
-797813578107 = -1 · 315 · 7 · 132 · 47 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-395580,-95763420] |
[a1,a2,a3,a4,a6] |
Generators |
[47204:236893:64] |
Generators of the group modulo torsion |
j |
-9390725852594176000/1094394483 |
j-invariant |
L |
3.748940568498 |
L(r)(E,1)/r! |
Ω |
0.095183347505705 |
Real period |
R |
4.9233146694538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12831d1 |
Quadratic twists by: -3 |